What Are the Factors of 96?

The factors of 96 are the whole numbers 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. Each of the opposite or negative numbers represented is also a factor of 96. Each of these numbers can be multiplied by a certain integer to obtain 96.

To determine the factors of a number like 96, division is the most efficient method. Each number (or divisor) that produces an integer quotient when divided by 96 is a factor of 96, as is the quotient itself.

Therefore, 1 and 96 are factors;

Therefore, 2 and 48 are factors;

Therefore, 3 and 32 are factors;

96/4 = 24, hence both 4 and 24 are factors;

94/6 = 16, hence both 6 and 16 are factors;

94/8 = 12, hence both 8 and 12 are factors.

The other numbers between 1 and 12 could not be precisely divided (5, 7, 9, 10, 11). There is no need to test numbers twelve and up.

The process of factorising a number into its prime number factors. The only prime factors for the number 96 are 2 and 3, although five 2 factors must be multiplied by 3. For instance, 2222223 equals 96, which may alternatively be written as (25)3 = 96 or 323 = 96.

The relationship between factors and multiples is close because the greater number is one multiple of each of its factors. A person could find the largest common factor or least common multiple of 96 and another number by factoring.

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